Define rhombus

Lozenge In U+25CA ◊ LOZENGE ( ◊, ◊) Related See also U+2311 ⌑ SQUARE LOZENGE U+29EB ⧫ BLACK LOZENGE U+25C8 ◈ WHITE DIAMOND CONTAINING BLACK SMALL DIAMOND A lozenge ( ˈ l ɒ z ɪ n dʒ/ LOZ-inj; symbol: ◊), often referred to as a diamond, is a form of lozenge is not strictly fixed, and the word is sometimes used simply as a synonym (from rhombus. Most often, though, lozenge refers to a thin rhombus—a rhombus with two acute and two obtuse angles, especially one with acute angles of 45°. n with n being an integer higher than 4, because they can be used to form a set of Symbolism [ ] The lozenge motif dates from the The lozenge symbolism is one of the main symbols for women in In 1658, the English philosopher The Quincunciall Lozenge, or Network Plantations of the Ancients, in which he outlined the Lozenges appear as diamonds is a lozenge. Encodings [ ] In • U+22C4 ⋄ DIAMOND OPERATOR ( ⋄, ⋄, ⋄) • U+2311 ⌑ SQUARE LOZENGE • U+25CA ◊ LOZENGE ( ◊, ◊) • U+2662 ♢ WHITE DIAMOND SUIT • U+2666 ♦ BLACK DIAMOND SUIT ( ♦, ♦) • U+27E0 ⟠ LOZENGE DIVIDED BY HORIZONTAL RULE • U+29EB ⧫ BLACK LOZENGE ( ⧫, ⧫) • U+2B27 ⬧ BLACK MEDIUM LOZENGE • U+2B28 ⬨ WHITE MEDIUM LOZENGE • U+2B2A ⬪ BLACK SMALL LOZENGE • U+2B2B ⬫ WHITE SMALL LOZENGE • U+25C6 ◆ BLACK DIAMOND • U+25C7 ◇ WHITE DIAMOND • U+2726 ✦ BLACK FOUR POINTED STAR • U+10070 𐁰 BLACK DIAMOND MINUS WHITE X • U+2727 ✧ WHITE FOUR POINTED STAR • U+20DF ⃟ COMBINING ENCLOSIN...

Geometric Shapes In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes . Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic. In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc.  In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on. In this article, you will learn different geometric shapes and their definition along with examples. Table of Contents: • • • • • • • • • • To be Noted: • A point has no dimension and a line is a one-dimensional shape. Both of these are the base of geometry. When two lines meet at a point, they form an angle where the point is said to be the vertex and lines are the arms. • The two-dimensional and three-dimensional shapes are formed using point, lines and angles. Shapes are nothing but simple geometric figures whi...

A kite is a quadrilateral shape with two pairs of adjacent (touching), congruent (equal-length) sides. That means a kite is all of this: • A plane figure • A closed shape • A polygon Kite Definition - Geometry Sometimes a kite can be a rhombus (four congruent sides), a dart, or even a square (four congruent sides and four congruent interior angles). Some kites are rhombi, darts, and squares. Not every rhombus or square is a kite. All darts are kites. Kites Types Kites can be convex or concave. A dart is a concave kite. That means two of its sides move inward, toward the inside of the shape, and one of the four interior angles is greater than 180°. A dart is also called a chevron or arrowhead. Kite and Dart - Geometry How to construct a kite in geometry You can make a kite. Find four uncooked spaghetti strands. Cut or break two spaghetti strands to be equal to each other, but shorter than the other two strands. Touch two endpoints of the short strands together. Touch two endpoints of the longer strands together. Now carefully bring the remaining four endpoints together so an endpoint of each short piece touches an endpoint of each long piece. You have a kite! How to draw a kite in geometry You can also draw a kite. Use a protractor, ruler and pencil. Draw a line segment (call it KI) and, from endpoint II, draw another line segment the same length as KI. That new segment will be IT. The angle those two line segments make ( ∠I) can be any angle except 180° (a straight angle)....

Area Of Rhombus In geometry, a rhombus is a special type of parallelogram in which two pairs of opposite sides are congruent. That means all the sides of a rhombus are equal. Students often get confused with square and rhombus. The main area of a rhombus using various parameters such as diagonals, side & height, and side and internal angle, along with solved examples in each case. Table of Contents: • • • • • • • • • • What is the Area of a Rhombus? The area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space. To recall, a rhombus is a Read: Area of Rhombus Formula Different formulas to find the area of a rhombus are tabulated below: Formulas to Calculate Area of Rhombus Using Diagonals A = ½ × d 1 × d 2 Using Base and Height A = b × h Using Trigonometry A = b 2 × Sin(a) Where, • d 1 = length of diagonal 1 • d 2 = length of diagonal 2 • b = length of any side • h = height of rhombus • a = measure of any interior angle Derivation for Rhombus Area Formula Consider the following rhombus: ABCD Let O be the point of intersection of two diagonals AC and BD. The area of the rhombus will be: A = 4 × area of ∆ AOB = 4 × (½) × AO × OB sq. units = 4 × (½) × (½) d 1 × (½) d 2 sq. units = 4 × (1/8) d 1 × d 2 square units = ½ × d 1 × d 2 Therefore, the Area of a Rhombus = A = ½ × d 1 × d 2 Where d 1 and d 2 are the diagonals of the rhombus. Try This: How to Calculate Area of Rhombus? The methods to calculate the ...

• Math Lessons • Prehistoric Mathematics • Sumerian/Babylonian Mathematics • Egyptian Mathematics • Greek Mathematics • Pythagoras • Plato • Hellenistic Mathematics • Euclid • Archimedes • Diophantus • Roman Mathematics • Mayan Mathematics • Chinese Mathematics • Indian Mathematics • Brahmagupta • Madhava • Islamic Mathematics • Al-Khwarizmi • Medieval European Mathematics • Fibonacci • 16th Century Mathematics • Tartaglia, Cardano and Ferrari • 17th Century Mathematics • Descartes • Fermat • Pascal • Newton • Leibniz • 18th Century Mathematics • Bernoulli Brothers • Euler • 19th Century Mathematics • Galois • Gauss • Bolyai and Lobachevsky • Riemann • Boole • Cantor • Poincaré • 20th Century Mathematics • Hardy and Ramanujan • Russell and Whitehead • Hilbert • Godel • Turing • Weil • Cohen • Robinson and Matiyasevich Definition A rhombus is a two-dimensional (or flat), closed shape with four equal-length straight sides such that the opposite angles are equal and the opposite sides are parallel to each other. In other words, it is a parallelogram with all four sides equal. A square is a type of rhombus where all the interior angles are right angles. Figure 1 below shows a Rhombus. Figure 1 – Representation of a rhombus. Rhombus as Quadrilateral A quadrilateral is a rhombus shape. It is a parallelogram with identical sides and diagonals connecting at 90 degrees. This is the rhombus’s most crucial characteristic. A rhombus resembles a diamond . As a consequence, it is someti...

Congruent Sides Congruent sides are the concept used in geometry when the sides of a figure are equal to each other. It could be two or three sides equal to each other. The word congruent or congruency means exactly equal in shape and size, irrespective of flipping or rotating a shape. Congruent sides can be seen in various geometric shapes such as triangles and quadrilaterals. In this article, we are going to learn more about congruent sides and solve a few examples to understand the concept better. 1. 2. 3. 4. Congruent Sides in Triangles Triangles are best classified depending on the number of congruent sides a Isosceles Triangle An Equilateral Triangle An Scalene Triangle A scalene triangle is a triangle with all three sides of different lengths, and all three angles of different measurements. However, the different measurements don't affect the Congruent Sides in Quadrilaterals A • Parallelogram: Opposite angles and pairs are congruent. • Rectangle: Opposite sides are congruent along with the diagonals being equal. • • Rhombus: All four sides are congruent along with opposite angles being equal. • Isosceles Trapezium: The two non-parallel opposite sides are congruent. • Related Topics Listed below are a few interesting topics related to the congruent sides, take a look. • • • Example 1: Emma has four squares with the following side lengths: Square A, side = 6 inches, Square B, side = 8 inches, Square C, side = 5 inches, Square D, side = 8 inches. She wants two squares...

What is a Rhomboid? A rhomboid is a quadrilateral in which the opposite sides are parallel and the opposite angles are equal. It is similar to a parallelogram because its opposite sides are parallel and it can become a rhombus if all its sides are equal. Observe the following rhomboid with altitude (height) 'h' and base 'b' and side 'a'. Properties of a Rhomboid Here is a list of the properties of a rhomboid: • In a rhomboid, the opposite sides are parallel and equal. • The diagonal divides the rhomboid into two • The opposite angles of a rhomboid are congruent. • The sum of Now, let us relate these properties to the following figure. • Side AD is parallel to BC and AB is parallel to CD. Side AD = BC and AB = CD. • Diagonal AC divides the rhomboid into two congruent triangles ABC and ADC. Diagonal BD divides the rhomboid into two congruent triangles ABD and BCD • The opposite angles are: ∠ADC = ∠ABC and ∠DAB = ∠DCB • The sum of the angles: ∠A + ∠B + ∠C + ∠D = 360° Formulas of a Rhomboid Let us learn about the two basic formulas of a rhomboid. Perimeter of a Rhomboid The perimeter of a rhomboid is the total measurement of its boundary. The formula for the perimeter of a rhomboid is the sum of all its sides. We know that the opposite sides of a rhomboid are equal. This means side AD = BC and AB = CD. In the following figure, BC is marked as 'a' and AB is marked as base (b). This makes the perimeter formula: 2(a+b). Perimeter of Rhomboid = a + a + b + b = 2(a + b), where 'a' ...

Rhomboid To understand rhomboids, we need to understand what a plane figure is. A plane figure can be an open or closed figure drawn using either straight line on curved lines. It is primarily a two-dimensional figure. So to understand geometry, we need to understand plane figures. They have both vertices and sides. Similarly, they have perimeters and areas but not surface area and volumes. The basic types of figures are shown in the image below. A lso check: Definition of Rhomboid The rhomboid is different from a rhombus. It is a type of parallelogram. It is very similar to a parallelogram. It is a figure in which opposite sides are parallel to each other. This is why it is similar to a parallelogram. And if a rhomboid has all sides equal, it becomes a rhombus. So we can say that a Rhomboid Properties • Opposite pair of sides are parallel. • Opposite sides of a rhomboid are also congruent. • The diagonal divides the rhomboid into two congruent triangles. • Opposite angles of a rhomboid are also congruent. • The sum of interior angles of a rhomboid is equal to 360 degrees. Important Rhomboid Formulas • The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b), where b is the base of the rhomboid and a is the length of the other side of the rhomboid. • Area of a rhomboid: The diagonal of a rhomboid divides the rhomboid into two congruent triangles and its area becomes ½ x base x altitude. Where AB is the...